Local existence in time of solutions to the elliptic-hyperbolic Davey-Stewartson system without smallness condition on the data

DOI10.1007/BF02788141zbMath0907.35120MaRDI QIDQ1385408

Nakao Hayashi

Publication date: 26 April 1998

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceinitial value problem for the elliptic-hyperbolic Davey-Stewartson systemslocal existence of a unique solution

Mathematics Subject Classification ID

Related Items (11)

Low-regularity integrator for the Davey-Stewartson system: elliptic-elliptic case ⋮ Numerical study of the Davey-Stewartson system ⋮ SMOOTHING EFFECT AND LARGE TIME BEHAVIOR OF SOLUTIONS TO SCHRÖDINGER EQUATIONS WITH NONLINEARITY OF INTEGRAL TYPE ⋮ Numerical study of Davey–Stewartson I systems ⋮ On the integrability of a generalized Davey-Stewartson system ⋮ A lower bound on the blow-up rate for the Davey-Stewartson system on the torus ⋮ The Cauchy problem for the elliptic-hyperbolic Davey-Stewartson system in Sobolev space ⋮ IST Versus PDE: A Comparative Study ⋮ Local well-posedness for the Davey-Stewartson equation in a generalized Feichtinger algebra ⋮ On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces ⋮ A numerical approach to Blow-up issues for Davey-Stewartson II systems

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